CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES

Cilt: 1 Sayı: 1 1 Nisan 2013
  • Ali Kacha
  • Brahim Ounir
  • Brahim Moalige
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Continued fraction expansions of some functions of positive definite matrices

Abstract

In this paper we recall some results of matrix functions with eal cofficients. The aim of this paper is to provide some properties and results of continued fractions with matrix arguments. Then we give continued fractions expansions of some inverse of hyperbolic and circular functions and where is a positive definite matrix

Keywords

Kaynakça

  1. T.Ando, Topics on operators inequalities, Ryukyu Univ. Lecture Note Series, 1 (1978).
  2. S. M. Cox & P. C. Matthews: Exponential time diferencing for sti_ systems. J. Comp. Phys., 176 (2); 430-455, 2002.
  3. A. Cuyt & V. Brevik Petersen, Handbook of continued fractions for special functions, Springer (2007).
  4. F. R. Gantmacher: The Theory of Matrices, Vol. I. Chelsa, New York, 1959. Elsevier Science Publishers, (1992).
  5. V. Gen H. Golub & Charles F. Van Loan: Matrix Computations, Johns Hopking University Press, Baltimore, MD, USA, third edition, (1996).
  6. W.B.Jons & W.J. Thron: Continued Fractions, Analytic Theory and Applications, Addison-Westly Publishing Company, 5. (1980).
  7. Peter Lancaster & Miron Tismenetsky. The Theory of Matrices. Academic Press, New York, second editions, (1985).
  8. L.Lorentzen, H.Wadeland, Continued fractions with application, Elseiver Science Publishers, (1992).

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Brahim Ounir Bu kişi benim

Brahim Moalige Bu kişi benim

Yayımlanma Tarihi

1 Nisan 2013

Gönderilme Tarihi

13 Mart 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2013 Cilt: 1 Sayı: 1

Kaynak Göster

APA
Kacha, A., Ounir, B., & Moalige, B. (2013). CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences, 1(1), 49-54. https://izlik.org/JA44AK87GN
AMA
1.Kacha A, Ounir B, Moalige B. CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences. 2013;1(1):49-54. https://izlik.org/JA44AK87GN
Chicago
Kacha, Ali, Brahim Ounir, ve Brahim Moalige. 2013. “CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES”. New Trends in Mathematical Sciences 1 (1): 49-54. https://izlik.org/JA44AK87GN.
EndNote
Kacha A, Ounir B, Moalige B (01 Nisan 2013) CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences 1 1 49–54.
IEEE
[1]A. Kacha, B. Ounir, ve B. Moalige, “CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES”, New Trends in Mathematical Sciences, c. 1, sy 1, ss. 49–54, Nis. 2013, [çevrimiçi]. Erişim adresi: https://izlik.org/JA44AK87GN
ISNAD
Kacha, Ali - Ounir, Brahim - Moalige, Brahim. “CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES”. New Trends in Mathematical Sciences 1/1 (01 Nisan 2013): 49-54. https://izlik.org/JA44AK87GN.
JAMA
1.Kacha A, Ounir B, Moalige B. CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences. 2013;1:49–54.
MLA
Kacha, Ali, vd. “CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES”. New Trends in Mathematical Sciences, c. 1, sy 1, Nisan 2013, ss. 49-54, https://izlik.org/JA44AK87GN.
Vancouver
1.Ali Kacha, Brahim Ounir, Brahim Moalige. CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences [Internet]. 01 Nisan 2013;1(1):49-54. Erişim adresi: https://izlik.org/JA44AK87GN